DOI QR코드

DOI QR Code

SYMMETRIC AND PSEUDO-SYMMETRIC NUMERICAL SEMIGROUPS VIA YOUNG DIAGRAMS AND THEIR SEMIGROUP RINGS

  • Suer, Meral (Department of Mathematics Faculty of Science and Letters Batman University) ;
  • Yesil, Mehmet (Department of Mathematics Faculty of Science and Letters Batman University)
  • 투고 : 2021.01.03
  • 심사 : 2021.07.05
  • 발행 : 2021.11.01

초록

This paper studies Young diagrams of symmetric and pseudo-symmetric numerical semigroups and describes new operations on Young diagrams as well as numerical semigroups. These provide new decompositions of symmetric and pseudo-symmetric semigroups into a numerical semigroup and its dual. It is also given exactly for what kind of numerical semigroup S, the semigroup ring 𝕜⟦S⟧ has at least one Gorenstein subring and has at least one Kunz subring.

키워드

과제정보

The authors thank the anonymous referees for their valuable comments.

참고문헌

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